What is the Greatest Common Factor of 38019 and 38038?

Greatest common factor (GCF) of 38019 and 38038 is 19.

GCF(38019,38038) = 19

We will now calculate the prime factors of 38019 and 38038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38019 and 38038.

How to find the GCF of 38019 and 38038?

We will first find the prime factorization of 38019 and 38038. After we will calculate the factors of 38019 and 38038 and find the biggest common factor number .

Step-1: Prime Factorization of 38019

Prime factors of 38019 are 3, 19, 23, 29. Prime factorization of 38019 in exponential form is:

38019 = 3¹ × 19¹ × 23¹ × 29¹

Step-2: Prime Factorization of 38038

Prime factors of 38038 are 2, 7, 11, 13, 19. Prime factorization of 38038 in exponential form is:

38038 = 2¹ × 7¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 38019

List of positive integer factors of 38019 that divides 38019 without a remainder.

1, 3, 19, 23, 29, 57, 69, 87, 437, 551, 667, 1311, 1653, 2001, 12673

Step-4: Factors of 38038

List of positive integer factors of 38038 that divides 38019 without a remainder.

1, 2, 7, 11, 13, 14, 19, 22, 26, 38, 77, 91, 133, 143, 154, 182, 209, 247, 266, 286, 418, 494, 1001, 1463, 1729, 2002, 2717, 2926, 3458, 5434, 19019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38019 and 38038. The biggest common factor number is the GCF number.
So the greatest common factor 38019 and 38038 is 19.

Also check out the Least Common Multiple of 38019 and 38038